ch4 Geo simplifying radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, most commonly the square root. It is denoted by the radical sign (√).

Front

How do you simplify a square root?

Back

To simplify a square root, factor the number under the radical into its prime factors, and then pair the factors. Each pair can be taken out of the radical as a single number.

Front

What is the square root of 16?

Back

The square root of 16 is 4.

Front

What is the simplified form of √45?

Back

The simplified form of √45 is 3√5.

Front

How do you simplify √96?

Back

To simplify √96, factor it as √(16 * 6) = √16 * √6 = 4√6.

Front

What is the simplified form of √28?

Back

The simplified form of √28 is 2√7.

Front

What is the square root of 72?

Back

The square root of 72 is 6√2.

Front

How do you simplify 3√72?

Back

3√72 can be simplified to 3 * 6√2 = 18√2.

Front

What is the process of rationalizing the denominator?

Back

Rationalizing the denominator involves eliminating any radicals from the denominator of a fraction, often by multiplying the numerator and denominator by a suitable radical.

Front

What is the difference between a perfect square and a non-perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer, while a non-perfect square cannot.